DIFFERENTIATION
posted by Anonymous
An open topped taking tin with a volume of 864 cm is to be constructed with a square base and vertical sides. Find the least amount of tin plate required.

Steve
if the base has side x and the tin has height y, then
x^2 y = 864
y = 864/x^2
The surface area a is
a = x^2 + 4xy = x^2 + 4x(864/x^2)
= x^2 + 3456/x
da/dx = 2x  3456/x^2
= (2x^33456)/x^2
da/dx=0 when x=12.
Now find the area.
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